PRMIA 8007 Exam : Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition

8007
  • Exam Code: 8007
  • Exam Name: Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition
  • Updated: Jul 20, 2026
  • Q & A: 133 Questions and Answers

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PRMIA 8007 Exam Syllabus Topics:

SectionObjectives
Numerical Methods- Quantitative Techniques
  • 1. Monte Carlo Methods
  • 2. Optimization Methods
  • 3. Simulation Techniques
  • 4. Numerical Approximation
Regression and Time Series Analysis- Modeling Techniques
  • 1. Multivariate Regression
  • 2. Linear Regression
  • 3. Model Diagnostics
  • 4. Time Series Forecasting
Linear Algebra- Matrix Methods
  • 1. Matrix Operations
  • 2. Eigenvalues and Eigenvectors
  • 3. Positive Definiteness
  • 4. Covariance Matrices
Risk Measurement Applications- Quantitative Risk Analysis
  • 1. Value at Risk Methodologies
  • 2. Portfolio Risk Measurement
  • 3. Sensitivity Analysis
  • 4. Volatility Modeling
Statistical Analysis- Descriptive and Inferential Statistics
  • 1. Maximum Likelihood Estimation
  • 2. Confidence Intervals
  • 3. Moments and Distributions
  • 4. Hypothesis Testing
Calculus- Differential and Integral Calculus
  • 1. Integration
  • 2. Differentiation
  • 3. Functions and Limits
  • 4. Multivariable Calculus
Probability Theory- Fundamental Probability Concepts
  • 1. Bayes' Theorem
  • 2. Random Variables
  • 3. Probability Rules
  • 4. Conditional Probability

PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:

1. You are investigating the relationship between weather and stock market performance. To do this, you pick
100 stock market locations all over the world. For each location, you collect yesterday's mean temperature and humidity and yesterday's local index return. Performing a regression analysis on this data is an example of...

A) Multiple cross-section regression
B) Multiple time-series regression
C) Simple time-series regression
D) Simple cross-section regression


2. An asset price S is lognormally distributed if:

A) the change in price (dS) is normally distributed
B) ln(1+dS/S) is normally distributed
C) ln(dS/S) is normally distributed
D) 1/S is normally distributed


3. What is the indefinite integral of the function f(x) = ln(x), where ln(x) denotes the natural logarithmic function?

A) x ln(x) - x
B) 1/x
C) ln(x) - x
D) exp(x)


4. Consider the following distribution data for a random variable X: What is the mean and variance of X?

A) None of these
B) 3.5 and 3.45
C) 3.6 and 7.15
D) 3.4 and 3.84


5. Evaluate the derivative of ln(1+ x2) at the point x = 1

A) 2
B) 0
C) 0.5
D) 1


Solutions:

Question # 1
Answer: A
Question # 2
Answer: B
Question # 3
Answer: A
Question # 4
Answer: A
Question # 5
Answer: D

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